Krull versus global dimension in Noetherian P.I. rings
K. R. Goodearl, Lance W. Small
Abstract
K. R. Goodearl, Lance W. Small
Abstract
The Krull dimension of any noetherian P.I. ring is bounded above by its global (homological) dimension (when finite).
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The Krull dimension of any noetherian P.I. ring is bounded above by its global (homological) dimension (when finite).
Key concepts: Global dimension, Krull dimension, Noetherian, Mathematics, Pure mathematics, Regular local ring, Dimension (graph theory), Noetherian ring